I have a question about discrete mathematics question that I have been struggling to solve. Here is the question:
Each of the two rooms (room I and room II) contains either a lady or a tiger. If a room contains a lady, the sign on its door is true. If it contains a tiger, the sign is false. The signs are Room 1 - It makes no difference which room to pick. Room 2 - There is a lady in the other room. which room contains ladies? Use logic equivalences or rules of inference.
The only steps I could achieve were: I let p - there is a lady in room 1 q - there is a lady in room 2 and I said that sign 1 represents: (p ^ q) ∨ (~p ^ ~q) and I also said sign 2 represents: q ↔ p I don't know if it's correct but please provide your guidance. Thank you🙏